Isoperimetric inequalities in a boundary value problem on a Riemannian manifold
DOI10.1007/BF01594120zbMath0456.58025WikidataQ115393327 ScholiaQ115393327MaRDI QIDQ1150927
Publication date: 1980
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
maximum principlesisoperimetric inequalitiesLaplace-Beltrami operatorPoisson problemtwo-dimensional Riemannian manifoldfinite domain with boundarysymmetrisation methods
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Maximum principles in context of PDEs (35B50) Boundary value problems in the complex plane (30E25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differential complexes (58J10) Non-Euclidean differential geometry (53A35)
Related Items (1)
Cites Work
- Unnamed Item
- Maximum principles and nonlinear elliptic problems
- Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique \(P\lambda^2\geq\pi j^4_0/2\) de Polya et Szegö
- Maximum principles for some functionals associated with the solution of elliptic boundary value problems
- Bounds for the first eigenvalue of the elastically supported membrane on convex domains
- Konstruktion isoperimetrischer Ungleichungen der mathematischen Physik aus solchen der Geometrie
- On the mean value of the fundamental mode in the fixed membrane problem
- Maximum Principles and Bounds in Some Inhomogeneous Elliptic Boundary Value Problems
- Some Applications of the Maximum Principle in the Problem of Torsional Creep
- Isoperimetric Inequalities in a Class of Nonlinear Eigenvalue Problems
- Isoperimetric Inequalities and Their Applications
This page was built for publication: Isoperimetric inequalities in a boundary value problem on a Riemannian manifold
